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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for semilinear subelliptic Dirichlet problem
半线性 次椭圆 狄利克雷问题 多种解
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2023/4/27
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for semilinear subelliptic Dirichlet problem。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Type II blowup solutions to the 5D semilinear heat equation with double power nonlinearity
双幂非线性 5D 双线性热方程 II型爆破解
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2023/5/16
We will discuss the existence of blowup solutions to $u_t=\Delta u+|u|^\frac{4}{n-2}u-|u|^{q-1}u$ with $0ere are three kinds of blowup solutions in this equation. I...
Multiple positive solutions for semilinear Schrodinger equations
Multiple positive solutions semilinear Schrodinger equations
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2015/4/3
Multiple positive solutions for semilinear Schrodinger equations.
PRINCIPAL CURVATURE ESTIMATES FOR THE CONVEX LEVEL SETS OF SEMILINEAR ELLIPTIC EQUATIONS
PRINCIPAL CURVATURE ESTIMATES THE CONVEX LEVEL SETS SEMILINEAR ELLIPTIC EQUATIONS
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2014/4/3
We give a positive lower bound for the principal curvature of the strict convex level sets of harmonic functions in terms of the principal curvature of the domain boundary and the norm of the boundary...
A semilinear hyperbolic system violating the null condition
semilinear hyperbolic system null condition Analysis of PDEs
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2012/6/7
We consider a two-component system of semilinear wave equations in three space dimensions with quadratic nonlinear terms not satisfying the null condition. We prove small data global existence of the ...
On Control Of Sobolev Norms For Some Semilinear Wave Equations With Localized Data
Control Sobolev Norms Some Semilinear Wave Equations Localized Data
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2012/4/16
We establish new bounds of the Sobolev norms of solutions of semilinear wave equations for data lying in the Hs, s<1, closure of compactly supported data inside a ball of radius R, with R a fixed and ...
Controllability of Semilinear Evolution Inclusions with Nonlocal Conditions
Controllability fixed point semilinear evolution inclusions
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2011/11/4
In this paper, the controllability of semilinear evolution inclusions with nonlocal conditions in Banach spaces is investigated when the multivalued map has nonconvex values. The approach used here is...
The existence of S-asymptotically omega-periodic solutions for a class of semilinear fractionaldifferential equations
S-asymptoticallyω-periodic function Fractional differential equations Analyticsemigroup Solutions operator
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2011/10/11
This paper deals with the existence of S-asymptotically ω-periodic solutions to a class of fractional partial differentialequations. A series of analytical results about S-asymptotically ω-periodic so...
Almgren-type monotonicity methods for the classification of behavior at corners of solutions to semilinear elliptic equations
Almgren monotonicity formula semilinear elliptic equations conical boundary points
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2011/9/19
Abstract: A monotonicity approach to the study of the asymptotic behavior near corners of solutions to semilinear elliptic equations in domains with a conical boundary point is discussed. The presence...
Algebra properties for Sobolev spaces- Applications to semilinear PDE's on manifolds
Sobolev spaces Riemannian manifold algebra rule paraproducts heat semigroup
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2011/9/15
Abstract: In this work, we aim to prove algebra properties for generalized Sobolev spaces $W^{s,p} \cap L^\infty$ on a Riemannian manifold, where $W^{s,p}$ is of Bessel-type $W^{s,p}:=(1+L)^{-s/m}(L^p...
The blow-up theorem of a discrete semilinear wave equation
The blow-up theorem semilinear wave equation Analysis of PDEs
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2011/9/1
Abstract: In this paper, the discretization of a nonlinear wave equation whose nonlinear term is a power function is introduced. The difference equation derived by discretizing the nonlinear wave equa...
Blow-up time for a semilinear parabolic equation with variable reaction
Semilinear parabolic equation blow-up numerical blow-up time
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2011/4/6
In this paper, we address the solution of a semilinear heat equation with variable reaction subject to Dirichlet boundary conditions and nonnegative initial datum. Under some assumptions, we show that...
Boundary value problem for a classical semilinear parabolic equation
positive solution global existence blow-up omega-limit
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2011/2/28
In this paper, we study the boundary value problem of the classical semilinear parabolic equations ut − u = |u|p−1u.
Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls
optimal control existence conditions elliptic equations homogenization
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2011/1/18
An optimal control problem governed by semilinear elliptic partial differential equations is con-sidered. The equation is in divergence form with the leading term containing controls. By studying the ...
Multiplicity and regularity of periodic solutions for a class of degenerate semilinear wave equations
Multiplicity regularity of periodic solutions class of degenerate semilinear wave equations
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2011/2/28
We prove the existence of infinitely many classical periodic solutions for a class of degenerate semilinear wave equations:utt − uxx + |u|s−1u = f(x, t),for all s > 1. In particular we pro...